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2010 xIMC keystage2-EMIC team Question 1

xIMC · 2010 xIMC keystage2-EMIC team

Question 1

Row $r$ of a number triangle has $2r-1$ entries. Odd numbers in order fill odd rows, and even numbers in order fill even rows, each sequence starting at $1$ or $2$. The first six rows start $1$; $2,4,6$; $3,5,7,9,11$; $8,10,\ldots,20$; $13,15,\ldots,29$; $22,24,\ldots,42$. Which row contains $2010$?